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Finding the Third Proportional to 81,418 and 177,174

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Solution

The third proportional to 81,418 and 177,174 is: 385,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418 : 177,174 = 177,174 : x
  2. Step 2: Convert to fraction form
    81,418/177,174 = 177,174/x
  3. Step 3: Cross multiply
    81,418x = 177,174 × 177,174
  4. Step 4: Simplify right side
    81,418x = 31,390,626,276
  5. Step 5: Solve for x
    x = 31,390,626,276/81,418
  6. Step 6: Final answer
    x = 385,548.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.